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Finding the Fourth Proportional to 106,333.52, 146,740.32 and 58,586.48

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Solution

The fourth proportional to 106,333.52, 146,740.32 and 58,586.48 is: 80,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,333.52 : 146,740.32 = 58,586.48 : x
  2. Step 2: Convert to fraction form
    106,333.52/146,740.32 = 58,586.48/x
  3. Step 3: Cross multiply
    106,333.52x = 146,740.32 × 58,586.48
  4. Step 4: Simplify right side
    106,333.52x = 8,596,998,822.87
  5. Step 5: Solve for x
    x = 8,596,998,822.87/106,333.52
  6. Step 6: Final answer
    x = 80,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.